Fine-tuning problems in type IIA string theory

Abstract

We demonstrate a unified resolution to the strong CP, hierarchy, and cosmological constant problems in type IIA flux compactifications, via 4-form fluxes and KL stabilization. We show that the strong CP problem can be effectively "solved" in type IIA orientifold constructions, particularly in the type IIA $T^6/(\mathbb{Z}_2 \times \mathbb{Z}_2)$ model. Building on this, we explore whether the remaining two fine-tuning problems can also be resolved within the same setup. To obtain a small cosmological constant, we adopt the KL scenario and find that, in order to avoid conflicts with the swampland distance conjecture and to eliminate the need for fine-tuning, the perturbative superpotential $ΔW$ must take the form $f_0 U^3$. Additionally, we compute the gravitino mass. This allows for a resolution of the hierarchy problem without introducing fine-tuning if gravitino mass lies below 100 TeV. Taken together, these results suggest that the type IIA $T^6/(\mathbb{Z}_2 \times \mathbb{Z}_2)$ orientifold model provides a promising framework in which all three fine-tuning problems may be addressed simultaneously.